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The three digit number satisfying the requirements is 112.

The three digit number must be greater than or equal to 100 and less than 140.

To have 7 as a factor it must be a multiple of 7

To be even, it must be an even multiple of 7.

The first even multiple of 7 greater than or equal to 100 is: 100 ÷ 7 = 14 r 2 → first even multiple is 16 × 7 = 112

The last even multiples of 7 less than 140 is: 140 ÷ 7 = 20 → last even multiple is 18 × 7 = 126

The sum of its digits must be less than 9:

112 → 1 + 1 + 2 = 4

126 → 1 + 2 + 6 = 9

→ only 112 fits all the criteria.

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Q: What number has three digits is less than 140 has 7 for a factor is even and the sum of the three digits is less than 9?
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